SAT Math Heart of Algebra

If 5x + 6 = 10, what is the value of 10x + 3?

• 4

• 9

• 11

• 20

Tags

CCSS.7.EE.B.4A

Which of the following ordered pairs (x, y) satisfies the system of equations?

• (3, -2)

• (2, -2)

• (-2, 2)

• (-2, -2)

A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?

• The company charges $12 per hour for each landscaper.

• A minimum of 12 landscapers will work on each job.

• The price of every job increases by $12 every hour

• Each landscaper works 12 hours a day.

Tags

CCSS.HSF.LE.B.5

In the xy plane shown, line l is parallel to line k. What is the value of p?

• 4

• 5

• 8

• 10

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

nA = 360

The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50 degrees, what is the greatest number of sides it can have?

• 5

• 6

• 7

• 8

A musician has a new song available for

downloading or streaming. The musician earns

$0.09 each time the song is downloaded and $0.002

each time the song is streamed. Which of the

following expressions represents the amount, in

dollars, that the musician earns if the song is

downloaded d times and streamed s times?

• 0.002d + 0.09s

• 0.002d − 0.09s

• 0.09d + 0.002s

• 0.09d − 0.002s

Tags

CCSS.HSA-SSE.A.1A

l = 24 + 3.5m

One end of a spring is attached to a ceiling. When an

object of mass m kilograms is attached to the other

end of the spring, the spring stretches to a length of

l centimeters as shown in the equation above. What

is m when l is 73 ?

• 14

• 27.7

• 73

• 279.5

Tags

CCSS.HSA.REI.B.3

When 4 times the number x is added to 12, the

result is 8. What number results when 2 times x is

added to 7 ?

• -1

• 5

• 8

• 9

Tags

CCSS.7.EE.B.4A

A worker uses a forklift to move boxes that weigh

either 40 pounds or 65 pounds each. Let x be the

number of 40-pound boxes and y be the number of

65-pound boxes. The forklift can carry up to either

45 boxes or a weight of 2,400 pounds. Which of the

following systems of inequalities represents this

relationship?

• 
• 
• 
• 

A function f satisfies f(2) = 3 and f(3) = 5. A

function g satisfies g(3) = 2 and g(5) = 6. What is

the value of f(g(3)) ?

• 2

• 3

• 5

• 6

Tags

CCSS.HSF-BF.A.1C